Waves in fluid-filled elastic tubes with a stenosis: Variable coefficients KdV equations
Yükleniyor...
Dosyalar
Tarih
2007-05-15
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier B.V.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, by treating the arteries as thin-walled prestressed elastic tubes with a stenosis and the blood as an inviscid fluid we have studied the propagation of weakly nonlinear waves in such a medium, in the longwave approximation, by employing the reductive perturbation method. The variable coefficients KdV and modified KdV equations are obtained depending on the balance between the nonlinearity and the dispersion. By seeking a localized progressive wave type of solution to these evolution equations, we observed that the wave speeds takes their maximum values at the center of stenosis and gets smaller and smaller as one goes away from the stenosis. Such a result seems to reasonable from the physical point of view.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Solitary waves, Tubes with stenosis, Variable coefficient KdV equations, Inviscid fluid, Shock waves, Propagation, Pressure, Arteries, Approximation theory, Blood, Computational methods, Dispersions, Perturbation techniques, Nonlinear waves, Prestressed materials, Korteweg-de Vries equation, Solitons, Water waves
Kaynak
Journal of Computational and Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
202
Sayı
2
Künye
Demiray, H. (2007). Waves in fluid-filled elastic tubes with a stenosis: Variable coefficients KdV equations. Journal of Computational and Applied Mathematics, 202(2), 328-338. doi:10.1016/j.cam.2005.10.043